Writing Parallel and Perpendicular Lines Flashcard

Front

What is the slope of a line perpendicular to a line with slope 3?

Back

The slope of a line perpendicular to a line with slope 3 is -1/3.

Front

What is the equation of a line that is parallel to y = 2x + 5?

Back

Any line of the form y = 2x + b, where b is any real number.

Front

If two lines have the same slope, what can we say about them?

Back

They are parallel.

Front

What is the relationship between the slopes of two perpendicular lines?

Back

The slopes are opposite reciprocals.

Front

Write the equation of a line that passes through the point (1, 2) and has a slope of 4.

Back

y - 2 = 4(x - 1) or y = 4x - 2.

Front

Are the lines y = 5x + 3 and y = 5x - 1 parallel, perpendicular, or neither?

Back

Parallel.

Front

What is the slope of the line represented by the equation 2x + 3y = 6?

Back

The slope is -2/3.

Front

If a line has a slope of 0, what type of line is it?

Back

It is a horizontal line.

Front

What is the slope of a line parallel to the line represented by the equation y = -x + 4?

Back

The slope is -1.

Front

Determine if the lines y = 2x + 1 and y = -1/2x + 3 are parallel, perpendicular, or neither.

Back

They are perpendicular.